![arXiv:math/0606118v4 [math.PR] 5 Dec 2006](http://s1.studyres.com/store/data/013514025_1-1bac3cda767b4b11f4a6d27e549df5b9-300x300.png)
arXiv:math/0606118v4 [math.PR] 5 Dec 2006
... a simple toy model, which requires essentially no analytic machinery. We only assume some background in linear algebra and familiarity with elementary probability theory with martingales, roughly at the level of the inspiring textbook by D. Williams [82]. The model we will investigate likely has a f ...
... a simple toy model, which requires essentially no analytic machinery. We only assume some background in linear algebra and familiarity with elementary probability theory with martingales, roughly at the level of the inspiring textbook by D. Williams [82]. The model we will investigate likely has a f ...
Non-classical light and photon statistics
... (Newton) dominates over wave theory (Huygens). • 19th century – wave: Experiments support wave theory (Fresnel, Young), Maxwell’s equations describe propagating electromagnetic waves. • 1900s – ???: Ultraviolet catastrophe and photoelectric effect explained with light quanta (Planck, Einstein). • 19 ...
... (Newton) dominates over wave theory (Huygens). • 19th century – wave: Experiments support wave theory (Fresnel, Young), Maxwell’s equations describe propagating electromagnetic waves. • 1900s – ???: Ultraviolet catastrophe and photoelectric effect explained with light quanta (Planck, Einstein). • 19 ...
Wave Mechanics - dfcd.net: Articles
... the electrons in the atom involves whole numbers, and so far the only phenomena in which whole numbers were involved in physics were those of interference and of eigenvibrations. That suggested the idea to me that electrons ...
... the electrons in the atom involves whole numbers, and so far the only phenomena in which whole numbers were involved in physics were those of interference and of eigenvibrations. That suggested the idea to me that electrons ...
Quantum Gravity : Has Spacetime Quantum - Philsci
... gravity meaningless as a fundamental theory because an infinite number of parameters would be required to make any physical prediction." (Nicolai / Peeters / Zamaklar (2005) 3) ...
... gravity meaningless as a fundamental theory because an infinite number of parameters would be required to make any physical prediction." (Nicolai / Peeters / Zamaklar (2005) 3) ...
23 - Electronic Colloquium on Computational Complexity
... or applying a certain unitary transformation. Traditionally, such questions were considered in the context of the Nonabelian Hidden Subgroup Problem and quantum interactive proof systems, but they are much broader than that. One important application is the problem of “public-key quantum money” – th ...
... or applying a certain unitary transformation. Traditionally, such questions were considered in the context of the Nonabelian Hidden Subgroup Problem and quantum interactive proof systems, but they are much broader than that. One important application is the problem of “public-key quantum money” – th ...
Three Myths About Time Reversal in Quantum Theory 1. Introduction
... transformation as the transformation of ‘time-reversal.’ ... The thing is that this identification is wrong. ... [Time reversal] can involve nothing whatsoever other than reversing the velocities of the particles” (Albert 2000, pgs. 20-21). This implies that time reversal cannot conjugate the wavefu ...
... transformation as the transformation of ‘time-reversal.’ ... The thing is that this identification is wrong. ... [Time reversal] can involve nothing whatsoever other than reversing the velocities of the particles” (Albert 2000, pgs. 20-21). This implies that time reversal cannot conjugate the wavefu ...
Three myths about time reversal in quantum theory
... transformation as the transformation of ‘time-reversal.’ ... The thing is that this identification is wrong. ... [Time reversal] can involve nothing whatsoever other than reversing the velocities of the particles” (Albert 2000, pgs. 20-21). This implies that time reversal cannot conjugate the wavefu ...
... transformation as the transformation of ‘time-reversal.’ ... The thing is that this identification is wrong. ... [Time reversal] can involve nothing whatsoever other than reversing the velocities of the particles” (Albert 2000, pgs. 20-21). This implies that time reversal cannot conjugate the wavefu ...
A short introduction to unitary 2-designs
... it satisfies some symmetries. Designs have existed in the mathematical world for hundreds of years. Many mathematical and physical structures, such as Latin squares, affine and projective planes, mutually unbiased bases, error correcting codes, and so much more, can be ultimately be shown to be some ...
... it satisfies some symmetries. Designs have existed in the mathematical world for hundreds of years. Many mathematical and physical structures, such as Latin squares, affine and projective planes, mutually unbiased bases, error correcting codes, and so much more, can be ultimately be shown to be some ...
String theory as a Lilliputian world
... where ∆s ∼ a and ∆ω ∼ a/ 4 ρ, which reflects to what extent the eigenfunctions of O which are not suppressed by the proper-time cutoff a can resolve points on the worldsheet. This is true semiclassically where the worldsheet is just the minimal surface (9) and it will be true when we consider genuin ...
... where ∆s ∼ a and ∆ω ∼ a/ 4 ρ, which reflects to what extent the eigenfunctions of O which are not suppressed by the proper-time cutoff a can resolve points on the worldsheet. This is true semiclassically where the worldsheet is just the minimal surface (9) and it will be true when we consider genuin ...
DENSITY CONCEPT IN MOLECULES AND MATERIALS
... The basic ideas underlying the versatile uses of the concept of density in the modeling of molecules and materials, as visualized in various length scales, are outlined. In the microscopic length scale, it is the electron density that has played a major role in providing a deeper understanding of ch ...
... The basic ideas underlying the versatile uses of the concept of density in the modeling of molecules and materials, as visualized in various length scales, are outlined. In the microscopic length scale, it is the electron density that has played a major role in providing a deeper understanding of ch ...
ABSTRACT Title of Document:
... For all the interest quantum information theory is currently generating, it still remains a fledgling field. The theories that do exist are still relatively new and it would seem that many have yet to be discovered. Nowhere is it more evident just how fresh this approach to quantum theory is than i ...
... For all the interest quantum information theory is currently generating, it still remains a fledgling field. The theories that do exist are still relatively new and it would seem that many have yet to be discovered. Nowhere is it more evident just how fresh this approach to quantum theory is than i ...
Gravity and the quantum vacuum inertia hypothesis
... in a simple calculable situation. The motivation for our interpretation comes from the discovery that the resulting force proves to be proportional to acceleration, thus suggesting a basis for inertia of matter [1–3]. It thus appears that Newton’s equation of motion could be derived in this fashion ...
... in a simple calculable situation. The motivation for our interpretation comes from the discovery that the resulting force proves to be proportional to acceleration, thus suggesting a basis for inertia of matter [1–3]. It thus appears that Newton’s equation of motion could be derived in this fashion ...
Hubbard model description of silicon spin qubits: charge stability
... set of electron occupancy (n1 , n2 ) is maintained; the colored lines separating the white regimes represent the electron tunneling changing the occupancy by integer numbers. Fig. 2(a)-(c) show similar results in Si/SiGe structures, reproduced from Fig. 2(c)-(a) of Ref. 43. [Note that the order in t ...
... set of electron occupancy (n1 , n2 ) is maintained; the colored lines separating the white regimes represent the electron tunneling changing the occupancy by integer numbers. Fig. 2(a)-(c) show similar results in Si/SiGe structures, reproduced from Fig. 2(c)-(a) of Ref. 43. [Note that the order in t ...
The Threshold for Fault-Tolerant Quantum Computation
... Best methods trade extra ancilla qubits for error rate: Ancilla factories create complex ancilla states to substitute for most gates on the data. Errors on ancillas are less ...
... Best methods trade extra ancilla qubits for error rate: Ancilla factories create complex ancilla states to substitute for most gates on the data. Errors on ancillas are less ...
THE TRIANGLE INEQUALITY AND THE DUAL GROMOV
... Lipschitz seminorm LZ associated with dZ for ιX is given by the Lipschitz seminorm LX associated with dX . Conversely, if ιX : X ,→ Z is an injection and if LX is the quotient of LZ for ιX then ιX is an isometry. This observation justifies our restriction to seminorms defined on the self-adjoint par ...
... Lipschitz seminorm LZ associated with dZ for ιX is given by the Lipschitz seminorm LX associated with dX . Conversely, if ιX : X ,→ Z is an injection and if LX is the quotient of LZ for ιX then ιX is an isometry. This observation justifies our restriction to seminorms defined on the self-adjoint par ...